Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9. a car moving has momentum. if it moves at a fourth of the original s…

Question

  1. a car moving has momentum. if it moves at a fourth of the original speed, its momentum is as much. (1 point)

a fourth
half
twice
4 times

Explanation:

Step1: Recall momentum formula

The formula for momentum is $p = mv$, where $p$ is momentum, $m$ is mass and $v$ is velocity.

Step2: Consider new - speed situation

Let the original speed be $v_1$ and momentum $p_1=mv_1$. The new speed $v_2=\frac{1}{4}v_1$. Then the new momentum $p_2 = m\times v_2=m\times\frac{1}{4}v_1=\frac{1}{4}mv_1$. Since $p_1 = mv_1$, we have $p_2=\frac{1}{4}p_1$.

Answer:

A. a fourth